Numerical representation of quantum states in the positive-P and Wigner representations

Details Numerical representation of quantum states in the positive-P and Wigner representations Numerical representation of quantum states in the positive-P and Wigner representations

2009-06-22

arxiv.org/abs/0906.3905v1

Optics Communications, 282, 3924 (2009)

Physics

Condensed Matter

Quantum Gases

16 pages, single column format

Scientific paper

Numerical stochastic integration is a powerful tool for the investigation of quantum dynamics in interacting many body systems. As with all numerical integration of differential equations, the initial conditions of the system being investigated must be specified. With application to quantum optics in mind, we show how various commonly considered quantum states can be numerically simulated by the use of widely available Gaussian and uniform random number generators. We note that the same methods can also be applied to computational studies of Bose-Einstein condensates, and give some examples of how this can be done.

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